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Grothendieck Group of an equivariant Derived Category (CROSBI ID 136657)
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Božičević, Mladen
Grothendieck Group of an equivariant Derived Category // International Mathematical Forum, 2 (2007), 65; 3219-3231-x
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Božičević, Mladen
engleski
Grothendieck Group of an equivariant Derived Category
Let G be a topological group acting on a topological space X. Let k be a field. Denote by Sh_G(X) the category of equivariant sheaves of k-vector spaces on X, and by D_G(X) the bounded equivariant derived category. We show that the Grothendieck groups of the categories Sh_G(X) and D_G(X) are naturally isomorphic.
Equivariant derived category; Grothendieck group; triangulated category; t-structure.
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